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3 years ago

2. The net of a square pyramid and its dimensions are shown in the diagram.

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

Answer:

Step-by-step explanatio............................................

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Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

$2x=2(30)=60\°$

step 3

Find the measure of an interior angle

substitute the value of x

$4x=4(30)=120\°$

In this problem the regular polygon is a hexagon

6 0

3 years ago

Simplify. (3m^2n4)^3 <br>A)27m^5n^7 <br>B)9m^6n12 <br>C)27m^6n^12<br>D)9m^5n^7

butalik [34]

(3m²n⁴)³ = 27m^6n^12. choice C

6 0

3 years ago

Pls pls pls pls help

artcher [175]

Answer:

see below

Step-by-step explanation:

A. Reflection across the y-axis replaces each x coordinate with its opposite.

B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)

C. This is a translation left 2 units.

D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)

E. This is a translation left 7 and down 2.

In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.

The figures are labeled and color coded in accordance with the problem statement.

8 0

3 years ago

What is the area of the shaded triangle?

irinina [24]

Answer:

A = 1/2 × b × h

= (1/2 × 10 × 6)

= (5×6) metre sq.

= 30sq. metres

Thank you.

BY GERALD GREAT.

7 0

3 years ago